A 50 L container holds 100 grams of nitrogen gas at a pressure of 45,000 pascals. Calculate the temperature of the nitrogen gas.

76K

Explanation:

You will need to use the ideal gas equation and the molar mass of the nitrogen gas.

1. Calculate the number of moles of gas, using the molar mass.

Molar mass of nitrogen gas (N₂): 2 × 14.0067 g/mol = 28.0134g/molnumber of moles = mass in grams / molar massnumber of moles = 100g / (28.0134g/mol) = 3.5697 mol

2. Calculate the temperature using the ideal gas equation:

a) Data:

p = 45,000Pa = 45. kPaV = 50 litern = 3.5697 mol (calculated above)T = ?R = 8.3145 (liter.kPa) / (mol⋅K)

b) Formula and solution

pV = nRTT= (pV)/(nR)T = (45. kPa × 50 liter) / (3.5697mol × 8.3145 (liter.kPa)/(mol.K) T = 75.8K ≈ 76K